**Text for Educational Website:**About 73% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 67%? Assume the sampling distribution of sample proportions is a normal distribution.The mean of the sample proportion is equal to the population proportion, and the standard deviation is equal to:\[\sqrt{\frac{pq}{n}}\]The probability that the sample proportion surviving for at least 3 years will be less than 67% is [____]. (Round to four decimal places as needed.)---**Explanation of Formula:**- \( p \) represents the population proportion (0.73).- \( q \) is calculated as \( 1 - p \).- \( n \) represents the sample size (80).- The formula \(\sqrt{\frac{pq}{n}}\) is used to calculate the standard deviation of the sample proportion.

Answered: The probability that the sample…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The probability that the sample proportion surviving for at least 3 years will be less than 67% isO (Round to four decimal places as needed.)